Dividing · Grade 5

In Grade 5 you get fluent with: dividing by a 1-digit number with remainders and remainders in word problems.

Dividing shares a number into equal groups, or finds how many equal groups fit. For bigger numbers we use short division, and what to do with a remainder depends on the question.

Key facts

  • Use the times tables backwards: 56 ÷ 8 = 7 because 7 × 8 = 56.
  • To divide a 2-digit number, split it into parts the divisor goes into: 72 ÷ 3 = 60 ÷ 3 + 12 ÷ 3 = 24.
  • Short division: divide each digit from the left, carrying the remainder to the next digit.
  • Remainders: round up when everything must fit (buses, boxes); round down when only whole ones count (pieces, packs).
  • Check a division by multiplying back: quotient × divisor + remainder = number.

Worked examples

Example 1

Use a times table fact to work out 56 ÷ 8.

Answer: 7

Example 2

Work out 72 ÷ 3.

Answer: 24

Example 3

1,476 ÷ 6

Answer: 246

Example 4

A carton holds 6 eggs. How many cartons are needed for 80 eggs?

Answer: 14

Example 5

Work out 43 ÷ 5, and give the remainder.

Answer: 8 remainder 3

Example 6

A ribbon 250 cm long is cut into pieces 8 cm long. How many whole pieces can be cut?

Answer: 31 pieces

Other years